The regular triangular lattice is well-studied and oft-utilized, with the attractive feature of having an analytical mapping from the discrete stretching and bending spring constants (\(k_s\)  and \(k_b\) ) to a continuous two-dimensional Young's modulus and bending rigidity for the sheet. The springs \(\mathbf {r}_{ij}\)  connecting pairs of lattice sites, \(\mathbf {x}_{i}\)  and \(\mathbf {x}_j\)  dictate in-plane deformations. Hinges separating two triangles \(\triangle _{ijk}\)  and \(\triangle _{ikl}\) , with normal vectors \(\hat{\mathbf {n}}_{ijk}\)  and \(\hat{\mathbf {n}}_{ikl}\) , control out-of-plane motion. Seung and Nelson [1]} showed that for the triangular lattice with unit length springs, and potentials of the form
\(E_s\left(\mathbf {r}_{ij}\right) = \frac{1}{2} k_s \left(1 - \left|\mathbf {x}_i - \mathbf {x}_j\right|\right)^2,\) 
\(E_b \left(\hat{\mathbf {n}}_{ijk}, \hat{\mathbf {n}}_{ikl}\right) = \frac{1}{2} k_b \left|\hat{\mathbf {n}}_{ijk} - \hat{\mathbf {n}}_{ikl} \right|^2,\) 
